{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:RJJYE2HSY26S7B24BL7CCDJ2TY","short_pith_number":"pith:RJJYE2HS","schema_version":"1.0","canonical_sha256":"8a538268f2c6bd2f875c0afe210d3a9e09667bece91ef55a7cc7cb6d7a281d2e","source":{"kind":"arxiv","id":"1408.6937","version":3},"attestation_state":"computed","paper":{"title":"An Exact Formula for the Average Run Length to False Alarm of the Generalized Shiryaev-Roberts Procedure for Change-Point Detection under Exponential Observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Aleksey S. Polunchenko, Grigory Sokolov, Wenyu Du","submitted_at":"2014-08-29T07:36:22Z","abstract_excerpt":"We derive analytically an exact closed-form formula for the standard minimax Average Run Length (ARL) to false alarm delivered by the Generalized Shiryaev-Roberts (GSR) change-point detection procedure devised to detect a shift in the baseline mean of a sequence of independent exponentially distributed observations. Specifically, the formula is found through direct solution of the respective integral (renewal) equation, and is a general result in that the GSR procedure's headstart is not restricted to a bounded range, nor is there a \"ceiling\" value for the detection threshold. Apart from the t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1408.6937","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-08-29T07:36:22Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"5d944672d71dc7095f79c1395cf5b1031fa376134766f553798baa5054d6fc7e","abstract_canon_sha256":"8338134d8ba86857e5cb6563f60f823319b4c9adcf011b89374e85f91b03ab8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:33.336041Z","signature_b64":"n/iSY+o0eYjF0BqNMbNX9OCFuZJYj9urbVJgk09qmOXzQnsDkJwrVZXpvBS2delr4/yylA9fLk82XvuSItA+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a538268f2c6bd2f875c0afe210d3a9e09667bece91ef55a7cc7cb6d7a281d2e","last_reissued_at":"2026-05-18T02:39:33.335524Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:33.335524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Exact Formula for the Average Run Length to False Alarm of the Generalized Shiryaev-Roberts Procedure for Change-Point Detection under Exponential Observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Aleksey S. Polunchenko, Grigory Sokolov, Wenyu Du","submitted_at":"2014-08-29T07:36:22Z","abstract_excerpt":"We derive analytically an exact closed-form formula for the standard minimax Average Run Length (ARL) to false alarm delivered by the Generalized Shiryaev-Roberts (GSR) change-point detection procedure devised to detect a shift in the baseline mean of a sequence of independent exponentially distributed observations. Specifically, the formula is found through direct solution of the respective integral (renewal) equation, and is a general result in that the GSR procedure's headstart is not restricted to a bounded range, nor is there a \"ceiling\" value for the detection threshold. Apart from the t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6937","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1408.6937","created_at":"2026-05-18T02:39:33.335596+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.6937v3","created_at":"2026-05-18T02:39:33.335596+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6937","created_at":"2026-05-18T02:39:33.335596+00:00"},{"alias_kind":"pith_short_12","alias_value":"RJJYE2HSY26S","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"RJJYE2HSY26S7B24","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"RJJYE2HS","created_at":"2026-05-18T12:28:46.137349+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY","json":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY.json","graph_json":"https://pith.science/api/pith-number/RJJYE2HSY26S7B24BL7CCDJ2TY/graph.json","events_json":"https://pith.science/api/pith-number/RJJYE2HSY26S7B24BL7CCDJ2TY/events.json","paper":"https://pith.science/paper/RJJYE2HS"},"agent_actions":{"view_html":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY","download_json":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY.json","view_paper":"https://pith.science/paper/RJJYE2HS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.6937&json=true","fetch_graph":"https://pith.science/api/pith-number/RJJYE2HSY26S7B24BL7CCDJ2TY/graph.json","fetch_events":"https://pith.science/api/pith-number/RJJYE2HSY26S7B24BL7CCDJ2TY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY/action/storage_attestation","attest_author":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY/action/author_attestation","sign_citation":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY/action/citation_signature","submit_replication":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY/action/replication_record"}},"created_at":"2026-05-18T02:39:33.335596+00:00","updated_at":"2026-05-18T02:39:33.335596+00:00"}